Answer:
the lengths of the three side of fencing :- 20m,. 12 m and 12 m
cost of fencing:- rupees 150 X 40 :- rupees 6,600 hundred
Function f approximately represents the trajectory of an airplane in an air show, where x is the horizontal distance of the flight, in kilometers. What is the symmetry of the function?
Answer:
[tex](\frac{3}{2},102)[/tex]
Step-by-step explanation:
Given
[tex]f(x)=88x^2-264x+300[/tex] --- Missing from the question
Required
The symmetry
First, we express f(x) as: [tex]f(x) = a(x - h)^2 + k[/tex]
Where the symmetry is: (h, y) and x = h
Equate f(x) to 0
[tex]88x^2-264x+300 = 0[/tex]
Subtract 300 from both sides
[tex]88x^2-264x+300 - 300= 0 - 300[/tex]
[tex]88x^2 - 264x= - 300[/tex]
Factorize
[tex]88(x^2 - 3x) = -300[/tex]
On the left-hand side, the coefficient of x is -3.
Divide by 2 and add the square to both sides.
So, we have:
[tex]88(x^2 - 3x) + (\frac{3}{2})^2 = -300 + (\frac{3}{2})^2[/tex]
Multiply the new terms by 88 (to make it factorizable)
[tex]88(x^2 - 3x ) +88* (\frac{3}{2})^2 = -300 + 88 * (\frac{3}{2})^2[/tex]
Factorize
[tex]88(x^2 - 3x + (\frac{3}{2})^2) = -300 + 88 * (\frac{3}{2})^2[/tex]
The quadratic expression in the bracket is a perfect square. This gives:
[tex]88(x - \frac{3}{2})^2 = -300 + 88 * (\frac{3}{2})^2[/tex]
[tex]88(x - \frac{3}{2})^2 = -300 + 88 * \frac{9}{4}[/tex]
[tex]88(x - \frac{3}{2})^2 = -300 + 22 * 9[/tex]
[tex]88(x - \frac{3}{2})^2 = -102[/tex]
Add 102 to both sides
[tex]88(x - \frac{3}{2})^2 +102= -102 + 102[/tex]
[tex]88(x - \frac{3}{2})^2 +102= 0[/tex]
Equate to y
[tex]y = 88(x - \frac{3}{2})^2 +102[/tex]
Recall that:
The symmetry is: (h, y)
By comparison with [tex]f(x) = a(x - h)^2 + k[/tex] and x = h
[tex]h = \frac{3}{2}[/tex]
So: [tex]x = \frac{3}{2}[/tex]
Substitute [tex]x = \frac{3}{2}[/tex] in [tex]y = 88(x - \frac{3}{2})^2 +102[/tex]
[tex]y = 88(\frac{3}{2} - \frac{3}{2})^2 +102[/tex]
[tex]y = 88(0)^2 +102[/tex]
[tex]y = 0 +102[/tex]
[tex]y = 102[/tex]
So, the symmetry is: [tex](\frac{3}{2},102)[/tex]
The first class had a kids in it, the second had b kids in it, and
the third class had c kids in it. Kids from all three classes were
equally divided between two buses. How many kids were on
each bus? Btw its not (a+b+c)/2 i already tried that
Answer:
Try abc ÷ 2
Step-by-step explanation:
F Class = a
S Class = b
T Class = c
a + b + c = abc
Two buses = 2
abc ÷ 2
Answer:
(a+b+c) divided by 2
Step-by-step explanation:
please and thank you
The answer is D. Y = 63 + 2 = 65
The given equation is y = x + 2, the height is given as 63. The height is the x value so you would replace x in the equation with 63 and solve for y.
ILL MARK BRAINIEST IF YOU DO THIS!!!
Valerie is sliding down a waterslide at a vertical rate of -5 m/s after 1 second she is 25 m from the bottom of the slide. Write this situation in point slope form: m(x-x1)=(y-y1)
Answer:
15
Step-by-step explanation:
becasue the slope is very harddddd
what is enviorement
Answer:
the surroundings or conditions in which a person, animal, or plant lives or operates
Step-by-step explanation:
they spelt it wrong
Answer:
Environment means anything that surround us. It can be living things (biotic) or non-living (abiotic) things. It includes physical, chemical and other natural forces. In the environment there are different interactions between animals, plants, soil, water, and other living and non-living things.
What is the measure of angle LMN ?
Answer:
g = 9°
hence LMN = 135 + 18 = 153°
Step-by-step explanation:
straight line is 180°
180 - 18 = 162
162 = 18g
g = 9
Answer:
Step-by-step explanation:
So try to find the total angle so
15g+18+3g=180
18g=180-18
18g=162
g=9
angle LMN=15x9+18
=135+18
LMN=153 degrees
angle PMN=3x9
= 27 degrees
This is hard and I need help
help its for a friend
1) Which of the following is true about circles
2 radius's for a circle is equal to it's diameter
1 diameter of a circle is equal to it's circumference
pi is a ratio of the distance around a circle to the distance across a circle
Circumference is distance across a circle
Circumference for a circle is found by multiplying pi by diameter
Circumference and Area of a circle are the same thing
THERE CAN BE MORE THAN ONE PLS HELP PLS PLS I REALLY NEED HELP
Answer:
Yes
No
Yes
No
Yes
No
Answer for 2y + 4/x = 10
Answer:
Y = 5 - 2/x
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
You want to isolate x so first, you have to multiply the whole equation by 1/4 so it will look like 1/4(2y+4/x=10). Simplify this to get 1/2y+x=5/2. You want to isolate x, so you have to subtract 1/2 from each side, this will make the equation x=5/2-1/2. Simplify this to get x=4/2 which can also be simplified to x=2. Therefore, the answer is x=2
If this has helped, please mark as brainliest
HELPP I don’t understand
Answer:
x=-6+2✓13,-6 -2✓13
Step-by-step explanation:
Find −14(−45) . Write your answer as a fraction in simplest form
Answer:630
Step-by-step explanation:
Select all expressions equivalent to 7/10
O 10/7
O 7 divided by 10
O 7 X 1/10
O 10 divided by 7
O 1 3/7
Answer:
circle 2 and 3 if I am correct
Answer:
second one, and third one
hello what you doing
Answer:
hi
Step-by-step explanation:
Need help ASAP will give brainliest to best answer
What did you need help with
Answer:
what's the question though?
Step-by-step explanation:
need help ASAP !!!
[tex] \sqrt{587 \times 587} [/tex]
Hello, I Am BrotherEye
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers. 587
Step-by-step explanation:
Look Above
Best of Luck
~
BrotherEye
proportions in triangles. solve for x
5x + x² – 2x + x² =
Please help !
Answer:
Step-by-step explanation:
[tex]5x+x^2-2x+x^2\\ \\ 2x^2+3x\ or\ x(2x+3)[/tex]
Answer:
5
Step-by-step explanation:
Find the area of a triangle with a base of 14 ft and a
height of 11 ft. A = bh/2)
Answer:
77
Step-by-step explanation:
If mTUW = (5x + 3), mWUV = (10x - 5), and mTUV = (17x - 16), find
each measure.
Answer:
m∠TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
Hope it helped :)
If there are 90 projects and eight get chosen to continue in the competition.What is the probability ( in percents) that your project will get chosen?
Answer:
7.2% ...................
Ed's birthday is less than 16 days
away. Ann writes the inequality
d< 16, where d equals the number
of days, to represent this. Is Ann
correct? Explain.
Answer: Yes
Step-by-step explanation:
From the question, we are informed that Ed's birthday is less than 16 days
away and that Ann writes the inequality
d< 16, where d equals the number
of days, to represent this.
The inequality d < 16 is correct as it explains that the number of days left is less than 16.
Answer:
Ann is correct because d is less than 16.
Step-by-step explanation:
Ed's Birthday is *less than 16* days away so d<16
Help me out pls ASAP
Answer:
C
Step-by-step explanation:
*6. Five brothers each bought two hot dogs & a bag of chips. If the chips
cost $1.25, and the total was $22.75 what was the price of each hot dog? *
A. $1.35 per hot dog
B. $1.45 per hot dog
C. $1.55 per hot dog
D. $1.65 per hot dog
What is the unit rate?
please help! whoever answers first and gets it right gets marked brainliest!
Answer:
1200 miles per hour :)
Step-by-step explanation:
if you need more details let me know :)
Answer:
For every miles, the rover gains 12,000 miles
Step-by-step explanation:
I was able to determine this by looking at the graph and determining what the difference between the points. When I found out the each 2 miles is 24,000, i divided 24,000 by two find the unit rate.
question : Jody got an 80% on a test that had 60 total points on it. How many points did Jody get correct?
help :) ( im not so good with math ) .
Answer:
48
Step-by-step explanation:
PLEASE HELP AS FAST AS POSSIBLE!!!
Answer:
ok 56 n po I hope it works
Algebra 1 homework
Hellpppp
Thanks
Help please I hate math
Answer:
8/9 Would be the answer.
Step-by-step explanation:
Compared to the bottom number of the fraction, It only needs 1 more to fill up to 9 and become a whole.
Oceanside bike rental shop charges seventeen dollars plus seven dollars an hour for renting a bike. Jason paid eighty dollars to rent a bike. How many hours did he have to pay to have the bike checked out?
Answer:This is a linear equation.
y = mx+b
y is the total cost.
The slope m is the rate: that's 9 dollars per hour.
x is the number of hours.
b is the initial value: that's 16 dollars.
y = 9x+16
The problem states that the cost was 79 dollars.
Substitute that for y and solve for x.
79 = 9x+16
63 = 9x
x = 7 hour
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
80-17=63
63/7 = 9
7 times 9 = 63
Mrs. Carver wants to add wall–to–wall tile to the science lab. If she plots the layout of the science lab on a graph with the vertices A(–7, 8), B(3, 8), C(3, –2), and D(–7, –2), what is the area of the science lab?
Answer:
o dpB
Step-by-step explanation: